• Title/Summary/Keyword: 4-Manifold

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TUBERCULOSIS TRANSMISSION MODEL WITH CASE DETECTION AND TREATMENT

  • Bhunu, C.P.;Mushayabasa, S.;Magombedze, G.;Roeger, L.I.
    • Journal of applied mathematics & informatics
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    • v.29 no.3_4
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    • pp.529-546
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    • 2011
  • A deterministic tuberculosis model for theoretically assessing the potential impact of the combined effects of case detection in the presence of treatment is formulated. The qualitative features of its equilibria are analyzed and it is found that the disease-free equilibrium may not be globally asymptotically stable when the reproduction number is less than unity. This disease threshold number is further used to assess the impact of active TB case finding alone and in conjunction with treatment. A critical threshold parameter ${\Theta}$ say for which case detection will have a positive impact is derived. Using the Centre Manifold theory, the model may exhibit the phenomenon of backward bifurcation (coexistence of a locally stable endemic equilibrium with a stable disease-free equilibrium) when the reproduction number is less than unity. It is shown that the possibility of backward bifurcation occurring decreases with increase case detection. Graphical representations suggest that increase in case finding accompanied by treatment of detected TB cases, result in a marked decrease of TB cases (both latent and active TB).

On the spectral rigidity of almost isospectral manifolds

  • Pak, Hong-Kyung
    • Bulletin of the Korean Mathematical Society
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    • v.29 no.2
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    • pp.237-243
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    • 1992
  • Let (M, g, J) be a closed Kahler manifold of complex dimension m > 1. We denote by Spec(M,g) the spectrum of the real Laplace-Beltrami operator. DELTA. acting on functions on M. The following characterization problem on the spectral rigidity of the complex projective space (CP$^{m}$ , g$_{0}$ , J$_{0}$ ) with the standard complex structure J$_{0}$ and the Fubini-Study metric g$_{0}$ has been attacked by many mathematicians : if (M,g,J) and (CP$^{m}$ ,g$_{0}$ ,J$_{0}$ ) are isospectral then is it true that (M,g,J) is holomorphically isometric to (CP$^{m}$ ,g$_{0}$ ,J$_{0}$ )\ulcorner In [BGM], [LB], it is proved that if (M,J) is (CP$^{m}$ , J$_{0}$ ) then the answer to the problem is affirmative. Tanno ([Ta]) has proved that the answer is affirmative if m .leq. 6. Recently, Wu([Wu]) has showed in a more general sense that if (M, g) and (CP$^{m}$ ,g$_{0}$ ) are (-4/m)-isospectral, m .geq. 4, and if the second betti number b$_{2}$(M) is equal to b$_{2}$(CP$^{m}$ ).

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Design and Production of Hybrid Type Center Plate for Molten Carbonate Fuel Cell (용융탄산염 연료전지용 하이브리드 타입 센터 플레이트의 설계 및 제작)

  • Lee, C.H.;Ryu, S.M.;Yang, D.Y.;Kang, D.W.;Chang, I.G.;Lee, T.W.
    • Transactions of Materials Processing
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    • v.20 no.4
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    • pp.273-278
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    • 2011
  • Employing the TRIZ problem solving technique, a hybrid-type center plate for the molten carbonate fuel cell(MCFC) was developed for the purpose of improving gas sealing and maintenance. The manufacturing method of the hybrid-type center plate was divided into a trimming operation and a two-step bending process. In the latter, a modified punch shape was used to reduce springback. Using finite element(FE) simulations, bending stresses in the thickness and the in-plane directions were computed and the bending conditions were optimized. The optimized results of the two-step bending process were used as a basis for the design of the trimming process of the hybrid-type center plate. Finally, the external manifold-type center plate and the hybrid-type center plate were fabricated using a die set that accounts for the optimized conditions. It was found that the numerical simulation results were in good agreement with the experiments.

Low Cycle Fatigue Behavior of 429EM Stainless Steel at Elevated Temperature (429EM 스테인리스강의 고온 저주기 피로 거동)

  • Lee, Keum-Oh;Yoon, Sam-Son;Hong, Seong-Gu;Kim, Bong-Soo;Lee, Soon-Bok
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.28 no.4
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    • pp.427-434
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    • 2004
  • Ferritic stainless steel is recently used in high temperature structures because of its good properties of thermal fatigue resistance, corrosion resistance, and low price. Tensile and low-cycle fatigue (LCF) tests on 429EM stainless steel used in exhaust manifold were performed at several temperatures from room temperature to 80$0^{\circ}C$. Elastic Modulus, yield strength, and ultimate tensile strength monotonically decreased when temperature increased. Cyclic hardening occurred considerably during the most part of the fatigue life. Dynamic strain aging was observed in 200~50$0^{\circ}C$, which affects the cyclic hardening behavior. Among the fatigue parameters such as plastic strain amplitude, stress amplitude, and plastic strain energy density (PSED), PSED was a proper fatigue parameter since it maintained at a constant value during LCF deformation even though cyclic hardening occurs considerably. A phenomenological life prediction model using PSED was proposed considering the influence of temperature on fatigue life.

Evaporator Thermal Performance Prediction on Automotive Air Conditioning System (자동차 공조장치용 증발기의 전열 성능 예측)

  • Kim, J.S.;Kang, J.K.
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
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    • v.3 no.4
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    • pp.297-305
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    • 1991
  • Recently, automotive air conditioning system manufacturers have been made a great efforts on the system compactness and high efficiency. This growing interest comes improvements in evaporator thermal performance, one of the most important factors affecting the performance of air conditioning system. In order to improve design of compact type evaporator, this study executes performs to develop a computer program for evaporator thermal performance prediction of automotive air conditioning system. The brief summaries of this study are as follows: 1) To predict the overall thermal performance of serpentine type evaporator, the new simulating method is developed. 2) The calculations are performed as functions of oil mass concentration and refrigerant two-phase distribution at inlet manifold of evaporator. 3) The validity of this simulating program is confirmed by comparing the predicted thermal performance results to experimental results of practical available evaporator. 4) Based on these results, suggestions are made to improve the thermal performance of evaporator.

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450mm 웨이퍼 공정용 system의 기하적 구조에 따른 플라즈마 균일도 수치 모델링

  • Yang, Won-Gyun;Ju, Jeong-Hun
    • Proceedings of the Korean Vacuum Society Conference
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    • 2010.02a
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    • pp.256-256
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    • 2010
  • 최근 반도체 공정을 위한 증착이나 식각장비에 있어서 웨이퍼 크기의 증가는 새로운 연구 분야를 발생시켰다. 웨이퍼의 크기가 200 mm에서 300 mm, 450 mm로 커지지만, 같은 특성 혹은 더 좋은 특성을 필요로 하는 플라즈마를 이용하는 진공장비의 기하적 구조는 비례적으로 증가하지 않는다. 이런 이유로 450 mm의 웨이퍼 공정용 장비의 제작에 있어서 진공 부품과 플라즈마 발생 소스는 더 이상 시행착오로 실험하기에는 막대한 돈과 시간, 인력의 투자가 필요하기 때문에 불가능하게 되었다. 이런 시행착오를 줄이기 위함의 일환으로 본 연구에서는 450 mm 웨이퍼 공정용 장비의 챔버 구성에 따른 플라즈마 균일도를 수치 모델링으로 예측했다. 챔버를 구성함에 있어서 baffle의 형상과 위치, 배기 manifold에 따른 유동분포, 플라즈마 균일도를 위한 안테나의 구조 등 중요한 요소들이 많이 존재하지만, 일단 전체적인 챔버의 종횡비가 결정되어야 가능한 일들이다. 첫째, 기판홀더와 챔버 벽면 간의 거리, 기판홀더와 배기구까지의 거리, 기판과 소스와의 거리가 인입되는 가스 분포와 플라즈마 균일도에 가장 큰 영향을 끼칠 것으로 판단된다. 즉, 위의 세 가지 챔버 내부 구조물의 크기 비에 따라 기판 바로 위에서의 플라즈마 균일도가 가장 좋은 디자인을 최적화하는 것이 본 계산의 목적이다. 기판 표면에서의 플라즈마 밀도 균일도는 기판홀더와 벽면과의 거리, 기판과 소스와의 거리가 멀수록, 기판홀더와 배기구와의 거리가 짧을수록 좋아졌으며, 그림과 같이 안테나의 디자인이 4 turn으로 1층인 경우, 두 turn의 안테나만 사용하여 기판표면에서 20~30%의 플라즈마 균일도를 4.7%까지 낮출 수 있었다

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Age-related Changes in Multi-finger Synergy during Constant Force Production with and without Additional Mechanical Constraint

  • Park, Yang Sun;Kwon, Hyun Joon;Koh, Kyung;Shim, Jae Kun
    • Korean Journal of Applied Biomechanics
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    • v.26 no.2
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    • pp.175-181
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    • 2016
  • Objective: The aim of this study was to investigate age-related changes of multi-finger synergy during a constant force production task with and without an additional mechanical constraint. Method: Fourteen elderly subjects (age: $78.50{\pm}4.63yrs$, height: $157.29{\pm}8.97cm$, weight: $65.13{\pm}6.93kg$) and 14 young subjects (age: $21.13{\pm}1.35yrs$, height: $171.57{\pm}8.43cm$, weight: $70.29{\pm}16.77kg$) participated in this study. The subjects were asked to place their index and middle fingers on two force transducers fixed on a small non-moving teeterboard and produce 10 N by pressing the sensors while watching force feedback on a computer screen under the no additional constraint condition (NAC). The subjects also performed the same task with an additional mechanical constraint (AC) where the subjects were asked to balance a teeterboard that could be rotated by finger forces. An uncontrolled manifold approach was used to calculate within-trial and between-trial multi-finger synergy indices, variance in uncontrolled subspace ($V_{UCM}$), and variance in subspace orthogonal to UCM subspace ($V_{ORT}$). Two-way repeated measured ANOVA was performed with the within-factor of task condition (with and without an additional constraint) and the between factor of groups (elderly and young). Results: The elderly group showed significantly increased within-trial $V_{ORT}$ in AC compared with NAC (p < .05) while the young group showed no significant difference between AC and NAC. There was no significant group difference for within-trial $V_{UCM}$. Between-trial $V_{ORT}$ remained unchanged between groups and conditions. However, between-trial $V_{UCM}$ for the elderly group significantly decreased in AC as compared to NAC, along with no significant difference for the young group. For multi-finger synergy, there was no significant group difference of within-trial synergy. However, between-trial synergy for the elderly group significantly decreased in AC as compared to NAC (p < .05). Conclusion: Our results indicate that aging decreased consistency (i.e., ability to perform the task on a moment-to-moment basis) with an additional mechanical constraint. In addition, aging was associated with decreased multi-finger synergy on a trial-to-trial basis.

CFD Analysis on the Flow Uniformity of a $CO_2$ Enrichment System (CFD를 이용한 온실 $CO_2$ 시비 시스템의 유량 균일성 해석)

  • Yim, Kyungjin;Kim, Hongjip;Lee, Sangmin;Park, Kyoung-Sub
    • Journal of Bio-Environment Control
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    • v.22 no.2
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    • pp.123-130
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    • 2013
  • $CO_2$ enrichment systems have been recently used to shorten the growth period of plants and the improvement of harvest and its quality. To accomplish these goals, manifold should be designed to supply the same amount of $CO_2$. In this study, CFD approach has been used to understand the effects of geometric parameters, such as tube and hole diameters. An optimized geometry has been derived through pipe and tube part, respectively. As a result, the deviation of flow rate less than 0.1 g/s was expected at all holes of the $CO_2$ enrichment system.

Design of I-123 Nuclide production system (I-123 핵종생산장치 시스템 설계)

  • Jung, Hyun-Woo;You, Jae-Jun;Kim, Byung Il;Chun, KwonSoo;Lee, Ji-Seub;Park, Hyun;Choi, JunYong;Oh, Se-Young;Bang, Sang-Kwon;Lee, Dong Hoon
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2014.05a
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    • pp.496-499
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    • 2014
  • Xe Gas is moved to Target from GPM. It is Used to feasible nuclear reaction from proton of 30MeV Cyclotron being investigated by the Xe-124 Gas target System. This system is divided into four parts. Hardware was constructed by solidworks and Helium Supply is to cool the Havor Foil. Water has the job of cooling down the temperature when Xe Gas is being investigated in the target. Temperature and pressure gauges are attached to be checked easily. GPM(Gas Process Manifold) has the part that prepares to transport Xe Gas. There are Storage Vessel that stores Xe Gas, the cold trap that filters humidity and impurity and lastly storage vessel that temporarily stores Xe Gas. HCS(Helium Circulation System) using the Helium to cleaning and cooling. these parts are used to SIEMENS PLC and Pcvue Program. Because It is more comfortable and easy maintenance.

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Determination of Selenium in Milk by ICP-OES (ICP-OES를 이용한 우유의 Selenium 분석)

  • 김효중;박종길;신정걸;백영진
    • Food Science of Animal Resources
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    • v.23 no.4
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    • pp.356-360
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    • 2003
  • The purpose of this paper was to determine the quantity of selenium in milk by inductively coupled plasma optical emission spectrometry. The sample was digested in teflon vessel containing nitric-hydrogen peroxide acid mixture. After digestion, the sample is treated with additional hydrochloric acid. Total selenium was reduced with sodium borohydride and concentrated hydrochloric acid in a simplified hydride generation(HG) manifold. The optimum conditions of HG are 2 M for HCl, 1.5% for NaBH$_4$, 1.2 mL/mim for sample flow. Recovery rates by the standard addition method were 88.0% at 10 ppb and 92.2% at 10 ppm. The relative standard deviations were 4.8 and 3.2%, respectively. This method showed a good accuracy and precision. And so it was highly suitable for determination of small quantity of selenium in milk.